We extend the notion of two-scale convergence introduced by G. Nguetseng and G. Allaire to the case of sequences of bounded Radon measures. We prove a compactness result for two-scale convergence. We then apply it to the study of the asymptotic behaviour of sequences of positively 1-homogeneus and periodically oscillating functionals with linear growth, defined on the space BV of the functions with bounded total variation.
Two-scale convergence and homogenization on BV(Omega) / Amar, Micol. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - 16:(1998), pp. 65-84.
Two-scale convergence and homogenization on BV(Omega)
AMAR, Micol
1998
Abstract
We extend the notion of two-scale convergence introduced by G. Nguetseng and G. Allaire to the case of sequences of bounded Radon measures. We prove a compactness result for two-scale convergence. We then apply it to the study of the asymptotic behaviour of sequences of positively 1-homogeneus and periodically oscillating functionals with linear growth, defined on the space BV of the functions with bounded total variation.File allegati a questo prodotto
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